Carter, 30, died Friday after suffering a massive heart attack while training with his club and never recovered.
"Kevon was a strong young man who gave 10 years' dedicated service to the national team from Under-23 to senior level, playing most recently in the 2013 CONCACAF Gold Cup," said Roberts.
"It is extremely disheartening to hear this news but I hope it serves as a wake-up call to all of us to pay closer attention to our health and wellness. When death comes so suddenly, it is always shocking and difficult to understand but I hope Kevon's family and friends will cherish the time he spent with them."
Carter earned 31 caps with the Trinidad and Tobago national team and scored give goals.